Methods2024 NHT Exam 2 Section A · Q17CAS active1 mark

Conditional probability and independence of events

Suppose that for three events, $A$ , $B$ and $C$ , $\Pr(A \mid B) = 1$ and $\Pr(C \mid B) = \Pr(C)$ .

Which of the following statements about $A$ , $B$ and $C$ must be true?

1 mark

\Pr(A) = 1

C \subseteq B

\Pr(A) \neq 1

B

and

C

are independent events and

B \subseteq A

B

and

C

are not independent events and

B \subseteq A

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